Exemplo n.º 1
0
        public void RootOne()
        {
            var root = new Root(new Variable("x"), new Number(1));
            var expected = new Variable("x");

            SimpleTest(root, expected);
        }
Exemplo n.º 2
0
 public void RootPartialDerivativeTest2()
 {
     var exp = new Root(new Variable("y"), new Number(3));
     var deriv = Differentiate(exp);
     Assert.Equal("0", deriv.ToString());
 }
Exemplo n.º 3
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        public void Root()
        {
            var root = new Root(new Variable("x"), new Number(5));

            SimpleTest(root, root);
        }
Exemplo n.º 4
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        public void RootDerivativeTest2()
        {
            // root(x, 3)
            var num = new Number(3);
            var x = new Variable("x");

            var exp = new Root(x, num);
            var deriv = Differentiate(exp);

            Assert.Equal("1 * (1 / 3) * (x ^ ((1 / 3) - 1))", deriv.ToString());

            num.Value = 4;
            Assert.Equal("root(x, 4)", exp.ToString());
            Assert.Equal("1 * (1 / 3) * (x ^ ((1 / 3) - 1))", deriv.ToString());
        }
Exemplo n.º 5
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 public void RootPartialDerivativeTest1()
 {
     var exp = new Root(new Mul(new Variable("x"), new Variable("y")), new Number(3));
     var deriv = Differentiate(exp);
     Assert.Equal("1 * y * (1 / 3) * ((x * y) ^ ((1 / 3) - 1))", deriv.ToString());
 }
Exemplo n.º 6
0
 public void RootPartialDerivativeTest2()
 {
     IExpression exp = new Root(new Variable("y"), new Number(3));
     IExpression deriv = Differentiate(exp);
     Assert.AreEqual("0", deriv.ToString());
 }
Exemplo n.º 7
0
        /// <summary>
        /// Differentiates the specified expression.
        /// </summary>
        /// <param name="expression">The expression.</param>
        /// <param name="variable">The variable.</param>
        /// <returns>Returns the derivative.</returns>
        protected virtual IExpression Root(Root expression, Variable variable)
        {
            var div = new Div(new Number(1), expression.Right.Clone());
            var pow = new Pow(expression.Left.Clone(), div);

            return Pow(pow, variable);
        }
Exemplo n.º 8
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        public void RootDerivativeTest2()
        {
            // root(x, 3)
            Number num = new Number(3);
            Variable x = new Variable("x");

            IExpression exp = new Root(x, num);
            IExpression deriv = Differentiate(exp);

            Assert.AreEqual("1 * ((1 / 3) * (x ^ ((1 / 3) - 1)))", deriv.ToString());

            num.Value = 4;
            Assert.AreEqual("root(x, 4)", exp.ToString());
            Assert.AreEqual("1 * ((1 / 3) * (x ^ ((1 / 3) - 1)))", deriv.ToString());
        }
Exemplo n.º 9
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 public void RootPartialDerivativeTest1()
 {
     IExpression exp = new Root(new Mul(new Variable("x"), new Variable("y")), new Number(3));
     IExpression deriv = Differentiate(exp);
     Assert.AreEqual("(1 * y) * ((1 / 3) * ((x * y) ^ ((1 / 3) - 1)))", deriv.ToString());
 }
Exemplo n.º 10
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        public void NegativeNumberExecuteTest()
        {
            var exp = new Root(new Number(-25), new Number(2));

            Assert.Equal(double.NaN, exp.Execute());
        }
Exemplo n.º 11
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        public void CalculateRootTest2()
        {
            var exp = new Root(new Number(-8), new Number(3));

            Assert.Equal(-2.0, exp.Execute());
        }
Exemplo n.º 12
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        public void CalculateRootTest1()
        {
            var exp = new Root(new Number(8), new Number(3));

            Assert.Equal(Math.Pow(8, 1.0 / 3.0), exp.Execute());
        }
Exemplo n.º 13
0
        /// <summary>
        /// Creates an expression object from <see cref="FunctionToken"/>.
        /// </summary>
        /// <param name="token">The function token.</param>
        /// <returns>An expression.</returns>
        protected virtual IExpression CreateFunction(FunctionToken token)
        {
            IExpression exp;

            switch (token.Function)
            {
                case Functions.Add:
                    exp = new Add(); break;
                case Functions.Sub:
                    exp = new Sub(); break;
                case Functions.Mul:
                    exp = new Mul(); break;
                case Functions.Div:
                    exp = new Div(); break;
                case Functions.Pow:
                    exp = new Pow(); break;
                case Functions.Absolute:
                    exp = new Abs(); break;
                case Functions.Sine:
                    exp = new Sin(); break;
                case Functions.Cosine:
                    exp = new Cos(); break;
                case Functions.Tangent:
                    exp = new Tan(); break;
                case Functions.Cotangent:
                    exp = new Cot(); break;
                case Functions.Secant:
                    exp = new Sec(); break;
                case Functions.Cosecant:
                    exp = new Csc(); break;
                case Functions.Arcsine:
                    exp = new Arcsin(); break;
                case Functions.Arccosine:
                    exp = new Arccos(); break;
                case Functions.Arctangent:
                    exp = new Arctan(); break;
                case Functions.Arccotangent:
                    exp = new Arccot(); break;
                case Functions.Arcsecant:
                    exp = new Arcsec(); break;
                case Functions.Arccosecant:
                    exp = new Arccsc(); break;
                case Functions.Sqrt:
                    exp = new Sqrt(); break;
                case Functions.Root:
                    exp = new Root(); break;
                case Functions.Ln:
                    exp = new Ln(); break;
                case Functions.Lg:
                    exp = new Lg(); break;
                case Functions.Lb:
                    exp = new Lb(); break;
                case Functions.Log:
                    exp = new Log(); break;
                case Functions.Sineh:
                    exp = new Sinh(); break;
                case Functions.Cosineh:
                    exp = new Cosh(); break;
                case Functions.Tangenth:
                    exp = new Tanh(); break;
                case Functions.Cotangenth:
                    exp = new Coth(); break;
                case Functions.Secanth:
                    exp = new Sech(); break;
                case Functions.Cosecanth:
                    exp = new Csch(); break;
                case Functions.Arsineh:
                    exp = new Arsinh(); break;
                case Functions.Arcosineh:
                    exp = new Arcosh(); break;
                case Functions.Artangenth:
                    exp = new Artanh(); break;
                case Functions.Arcotangenth:
                    exp = new Arcoth(); break;
                case Functions.Arsecanth:
                    exp = new Arsech(); break;
                case Functions.Arcosecanth:
                    exp = new Arcsch(); break;
                case Functions.Exp:
                    exp = new Exp(); break;
                case Functions.GCD:
                    exp = new GCD(); break;
                case Functions.LCM:
                    exp = new LCM(); break;
                case Functions.Factorial:
                    exp = new Fact(); break;
                case Functions.Sum:
                    exp = new Sum(); break;
                case Functions.Product:
                    exp = new Product(); break;
                case Functions.Round:
                    exp = new Round(); break;
                case Functions.Floor:
                    exp = new Floor(); break;
                case Functions.Ceil:
                    exp = new Ceil(); break;
                case Functions.Derivative:
                    exp = new Derivative(); break;
                case Functions.Simplify:
                    exp = new Simplify(); break;
                case Functions.Del:
                    exp = new Del(); break;
                case Functions.Define:
                    exp = new Define(); break;
                case Functions.Vector:
                    exp = new Vector(); break;
                case Functions.Matrix:
                    exp = new Matrix(); break;
                case Functions.Transpose:
                    exp = new Transpose(); break;
                case Functions.Determinant:
                    exp = new Determinant(); break;
                case Functions.Inverse:
                    exp = new Inverse(); break;
                case Functions.If:
                    exp = new If(); break;
                case Functions.For:
                    exp = new For(); break;
                case Functions.While:
                    exp = new While(); break;
                case Functions.Undefine:
                    exp = new Undefine(); break;
                case Functions.Im:
                    exp = new Im(); break;
                case Functions.Re:
                    exp = new Re(); break;
                case Functions.Phase:
                    exp = new Phase(); break;
                case Functions.Conjugate:
                    exp = new Conjugate(); break;
                case Functions.Reciprocal:
                    exp = new Reciprocal(); break;
                case Functions.Min:
                    exp = new Min(); break;
                case Functions.Max:
                    exp = new Max(); break;
                case Functions.Avg:
                    exp = new Avg(); break;
                case Functions.Count:
                    exp = new Count(); break;
                case Functions.Var:
                    exp = new Var(); break;
                case Functions.Varp:
                    exp = new Varp(); break;
                case Functions.Stdev:
                    exp = new Stdev(); break;
                case Functions.Stdevp:
                    exp = new Stdevp(); break;
                default:
                    exp = null; break;
            }

            var diff = exp as DifferentParametersExpression;
            if (diff != null)
                diff.ParametersCount = token.CountOfParams;

            return exp;
        }
Exemplo n.º 14
0
        /// <summary>
        /// Differentiates the specified expression.
        /// </summary>
        /// <param name="expression">The expression.</param>
        /// <param name="variable">The variable.</param>
        /// <returns>Returns the derivative.</returns>
        protected virtual IExpression Root(Root expression, Variable variable)
        {
            if (Parser.HasVar(expression.Left, variable) || Parser.HasVar(expression.Right, variable))
            {
                var div = new Div(new Number(1), expression.Right.Clone());
                var pow = new Pow(expression.Left.Clone(), div);

                return Pow(pow, variable);
            }

            return new Number(0);
        }